Antonio Falcó

Computational Mathematics · 2010–2013

A researcher in the Science corpus: 5 papers; trusts 32 researchers and is trusted by 14 researchers here, as inferred from the citation graph.

Subfields

• Computational Mathematics — 29 citations into it; #130 of 612 by trust here, #159 by citations
• Computational Theory and Mathematics — 28 citations into it; #6,962 of 12,182 by trust here, #5,724 by citations
• Computational Mechanics — 25 citations into it; #2,701 of 10,001 by trust here, #3,908 by citations
• Statistics and Probability — 25 citations into it; #6,175 of 12,932 by trust here, #9,714 by citations
• Statistical and Nonlinear Physics — 18 citations into it; #4,245 of 10,127 by trust here, #8,120 by citations
• Artificial Intelligence — 12 citations into it
• Civil and Structural Engineering — 9 citations into it
• Numerical Methods & Scientific Computing — 8 citations into it

Whom Antonio Falcó trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Anthony Nouy
2. Guifré Vidal
3. Tamara G. Kolda
4. Amine Ammar
5. Ivan V. Oseledets
6. Vladimir N. Temlyakov
7. Andreas Defant
8. B. Mokdad
9. Francisco Chinesta
10. C. L. Bris

Who trusts Antonio Falcó overall

1. Anthony Nouy
2. Jonas Ballani
3. Thorsten Rohwedder
4. André Uschmajew
5. Mathilde Chevreuil
6. Loïc Giraldi
7. Benjamin Peherstorfer
8. Sebastian Holtz
9. Lars Grasedyck
10. Karen E. Willcox

Papers from Antonio Falcó's perspective

Ordered by how strongly the researchers Antonio Falcó trusts endorse each paper. Same corpus, a different order for every researcher.

1. Tensor Decompositions and Applications
2. A new family of solvers for some classes of multidimensional partial differential equations encountered in kinetic theory modeling of complex fluids
3. Orthogonal Tensor Decompositions (SIAM Journal on Matrix Analysis and Applications)
4. Tensor Rank and the Ill-Posedness of the Best Low-Rank Approximation Problem
5. A Multilinear Singular Value Decomposition
6. Algorithms for Numerical Analysis in High Dimensions
7. Rank-One Approximation to High Order Tensors (SIAM Journal on Matrix Analysis and Applications)
8. A priori model reduction through Proper Generalized Decomposition for solving time-dependent partial differential equations
9. Results and Questions on a Nonlinear Approximation Approach for Solving High-dimensional Partial Differential Equations
10. Efficient classical simulation of slightly entangled quantum computations.

Their papers

• Proper generalized decomposition for nonlinear convex problems in tensor Banach spaces (2011) — 99 citations
• A Proper Generalized Decomposition for the solution of elliptic problems in abstract form by using a functional Eckart–Young approach (2011) — 84 citations
• F ¨ Ur Mathematik in Den Naturwissenschaften Leipzig on Minimal Subspaces in Tensor Representations on Minimal Subspaces in Tensor Representations — 70 citations
• On the Convergence of a Greedy Rank-One Update Algorithm for a Class of Linear Systems (2010) — 98 citations
• Geometric Structures in Tensor Representations (Final Release) (2013) — 22 citations